1.

A Sinusoidal voltage V = 200 sin 314 t r is applied to a resistor of 10 ohm. Calculate (i) rms value of voltage (ii) rms current (iii) power dissipated as heat.

Answer» `V = 200 sin 314 t, R = 10 Omega`
Compare with `V = E_(0) sin omega t = E_(0) sin 2 pi v t`
`E_(0) = 200 V, E_(v) = (E_(0))/(sqrt2) = (200)/(1.414) = 141.44 V`
`I_(v) = (E_(v))/(R ) = (1.414)/(10) = 14.414 A`
`P = E_(v) I_(v) = 141.144 xx 14.414 = 2000.5 V`


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